Geodesic
Martingale Rosenthal inequalities in symmetric spaces
Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1720-1740

Voir la notice de l'article provenant de la source Math-Net.Ru

We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.
Keywords: martingale differences, Rosenthal's inequality, symmetric space, Boyd index.
Mots-clés : martingale 
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     author = {S. V. Astashkin},
     title = {Martingale {Rosenthal} inequalities in symmetric spaces},
     journal = {Sbornik. Mathematics},
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     number = {12},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2014_205_12_a2/}
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S. V. Astashkin. Martingale Rosenthal inequalities in symmetric spaces. Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1720-1740. http://geodesic.mathdoc.fr/item/SM_2014_205_12_a2/